On cohomology of simple sheaves
β Scribed by S. Deo
- Publisher
- Akadmiai Kiad
- Year
- 1978
- Tongue
- English
- Weight
- 622 KB
- Volume
- 31
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
We study the sets P(X; F) = {(i; n) β N0 Γ Z | H i (X; F(n)) = 0}, where X is a projective scheme over a noetherian ring R0 and where F is a coherent sheaf of OX -modules. In particular we show that P(X; F) is a so called tame combinatorial pattern if the base ring R0 is semilocal and of dimension 6
Let X be a n-dimensional complex Stein manifold and F be a perverse sheaf on X. The main result of this paper is that the complex of formal cohomology R1 c (X; F w O X ) [n] is concentrated in degree zero. This result relies on some preliminaries which may have their own interest: flatness of the sh